The Ohm–Rush content function II. Noetherian rings, valuation domains, and base change
From MaRDI portal
Publication:5383879
DOI10.1142/S0219498819501007zbMath1412.13011arXiv1703.02114OpenAlexW2963384355WikidataQ129650489 ScholiaQ129650489MaRDI QIDQ5383879
Publication date: 20 June 2019
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.02114
Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Étale and flat extensions; Henselization; Artin approximation (13B40)
Related Items
Gaussian elements of a semicontent algebra, Extensions of primes, flatness, and intersection flatness, Vanishing of Tors of absolute integral closures in equicharacteristic zero, The Ohm-Rush content function III: Completion, globalization, and power-content algebras, The McCoy property in Ohm-Rush algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Big tight closure test elements for some non-reduced excellent rings
- Strong S-domains
- Open problems on syzygies and Hilbert functions
- Gaussian elements of a semicontent algebra
- Strong Krull primes and flat modules
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- On the dimension theory of rings. II
- On the theory of local rings
- The Ohm–Rush content function
- A Dedekind-Mertens theorem for power series rings
- On the content of polynomials over semirings and its applications
- On the Anderson-Badawi $\omega_{R[X}(I[X])=\omega_R(I)$ conjecture]
- Zero-divisors of Semigroup Modules
- Field Arithmetic
- Parameter-test-ideals of Cohen–Macaulay rings
- Content Algebras
- PRIME IDEALS ATTACHED TO A MODULE
- F-Regularity, Test Elements, and Smooth Base Change
- Associated Prime Ideals in Non-Noetherian Rings
- Small subalgebras of polynomial rings and Stillman’s Conjecture
- Some Applications of the Hilfssatz von Dedekind Mertens.
- Content Modules and Algebras.